Atkin-Lehner |
2- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
128122l |
Isogeny class |
Conductor |
128122 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-118897216 = -1 · 26 · 292 · 472 |
Discriminant |
Eigenvalues |
2- -2 1 -4 -2 5 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,95,393] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:71:8] [4:-31:1] |
Generators of the group modulo torsion |
j |
42895631/53824 |
j-invariant |
L |
12.173118020808 |
L(r)(E,1)/r! |
Ω |
1.2512094602408 |
Real period |
R |
0.81075673884769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128122h1 |
Quadratic twists by: -47 |